Variationally obtained approximate eigenvalues of the Zakharov-Shabat scattering problem for real potentials.

DOI10.1016/0375-9601(96)00070-9zbMath1073.81556OpenAlexW2052266978MaRDI QIDQ1967816

Mietek Lisak, Dan Anderson, M. Desaix, M. L. Quiroga-Teixeiro

Publication date: 7 March 2000

Published in: Physics Letters. A (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0375-9601(96)00070-9

Mathematics Subject Classification ID

Closed and approximate solutions to the Schrödinger, Dirac, Klein-Gordon and other equations of quantum mechanics (81Q05) Inverse scattering problems in quantum theory (81U40) Computational methods for problems pertaining to quantum theory (81-08)

Related Items (7)

Eigenvalues of the Zakharov-Shabat scattering problem for two separated sech-shaped pulses ⋮ Coupling constant behavior of eigenvalues of Zakharov-Shabat systems ⋮ Nonlinear wave focusing on water of finite depth ⋮ Bifurcations of new eigenvalues for the Benjamin–Ono equation ⋮ Generation of solitons and breathers in the extended Korteweg–de Vries equation with positive cubic nonlinearity ⋮ Dispersion equation and eigenvalues for the Zakharov-Shabat system using spectral parameter power series ⋮ On the generation of solitons and breathers in the modified Korteweg–de Vries equation

Cites Work

• Computation of the direct scattering transform for the nonlinear Schrödinger equation
• The Inverse Scattering Transform‐Fourier Analysis for Nonlinear Problems
• Variational principle for the Zakharov-Shabat equations
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